A complete generalization of the notions of minimality, controllability and observability is presented for uncertain systems modelled by Linear Fractional Transformations on structured operators. Both an algebraic perspective and a geometric perspective are given. The algebraic results include necessary and sufficient Linear Matrix Inequality conditions for reducibility, and the development of structured controllability and observability matrices. The geometric approach involves a decomposition of the system variable space into reachable and unobservable subspaces. Both approaches lead to Kalman-like decomposition structures for uncertain systems.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the American Control Conference|
|State||Published - 1997|
ASJC Scopus subject areas
- Control and Systems Engineering